proofcheck.org

Checking Proofs Written in TeX

ProofCheck: Checking Proofs Written in TeX. Welcome to the web site that helps you to use TeX. To write complete mathematical proofs that you can check with a Python. The basic structure of the checking program is very simple: each step of a proof to be checked is unified. With one rule after another from a long list rules of inference, in search of a match. The step is checked if a match is found. A proof is checked if all its steps check. ProofCheck is based on syntactical ideas of A. P. Morse.

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Checking Proofs Written in TeX | proofcheck.org Reviews

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ProofCheck: Checking Proofs Written in TeX. Welcome to the web site that helps you to use TeX. To write complete mathematical proofs that you can check with a Python. The basic structure of the checking program is very simple: each step of a proof to be checked is unified. With one rule after another from a long list rules of inference, in search of a match. The step is checked if a match is found. A proof is checked if all its steps check. ProofCheck is based on syntactical ideas of A. P. Morse.

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Checking Proofs Written in TeX | proofcheck.org Reviews

https://proofcheck.org

ProofCheck: Checking Proofs Written in TeX. Welcome to the web site that helps you to use TeX. To write complete mathematical proofs that you can check with a Python. The basic structure of the checking program is very simple: each step of a proof to be checked is unified. With one rule after another from a long list rules of inference, in search of a match. The step is checked if a match is found. A proof is checked if all its steps check. ProofCheck is based on syntactical ideas of A. P. Morse.

INTERNAL PAGES

proofcheck.org

1

Small Divisibility Example

http://www.proofcheck.org/examples/divides.html

This example is taken from the elementary number theory of the natural numbers. It contains just one definition and one theorem. The definition is that of divisibility. The big V is an existence quantifier. The definition states that a divides b if and only if there is a natural number k which multiplied by a yields b. The theorem states that divisibility is transitive. Which says that the product of two natural numbers is a natural number.

2

Online Math Expression Parser

http://www.proofcheck.org/oops.html

I'm sorry, but the Online Math Expression Parser is currently down for maintenance. Don't worry it will be back.

3

Documentation

http://www.proofcheck.org/documentation.html

Introductory Tutorial on Checkable Proofs. Writing and Checking Complete Proofs in TeX. Writing and Checking Complete Proofs in LaTeX.

4

A. P. Morse

http://www.proofcheck.org/morsebio.html

Morse's most important syntactical ideas are as follows:. Mathematical language should be both practical and formal. The formal grammar of a mathematical language should be a direct reflection of the definitions written by (and/or accepted by) the mathematician. Definitions should take the form. An important idea not used in ProofCheck is that it simplifies formal grammar to make no distinction between terms and formulas. The photograph shows Tony Morse and Woody Bledsoe in 1981. S well known General Top...

5

Open vs. Closed Systems

http://www.proofcheck.org/openvsclosed.html

Open vs. Closed Systems. Mathematicians write proofs using in TeX; ProofCheck reads TeX. Mathematicians use their own notation; ProofCheck learns it. Mathematicians refer to external results; ProofCheck accepts these references. The user is not asked to learn a new language. The following systems do. To see this check any of the following links:. Mizar has its own language. Here is a dictionary of a few of the basic expressions. Isabelle has its own language:. Here is a sample proof.

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Checking Proofs Written in TeX

ProofCheck: Checking Proofs Written in TeX. Welcome to the web site that helps you to use TeX. To write complete mathematical proofs that you can check with a Python. The basic structure of the checking program is very simple: each step of a proof to be checked is unified. With one rule after another from a long list rules of inference, in search of a match. The step is checked if a match is found. A proof is checked if all its steps check. ProofCheck is based on syntactical ideas of A. P. Morse.

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